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Finding the Third Proportional to 2,247.12 and 3,589.95

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Solution

The third proportional to 2,247.12 and 3,589.95 is: 5,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.12 : 3,589.95 = 3,589.95 : x
  2. Step 2: Convert to fraction form
    2,247.12/3,589.95 = 3,589.95/x
  3. Step 3: Cross multiply
    2,247.12x = 3,589.95 × 3,589.95
  4. Step 4: Simplify right side
    2,247.12x = 12,887,707.35
  5. Step 5: Solve for x
    x = 12,887,707.35/2,247.12
  6. Step 6: Final answer
    x = 5,735.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.